Naslov
Pairwise balanced designs and periodic Golay pairs

Autori
Švob, Andrea ; Crnković, Dean ; Dumičić Danilović, Doris ; Egan Ronan

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, ostalo

Izvornik
43rd Australasian Combinatorics Conference, Book of Abstracts / - , 2021, 23-23

Skup
43rd Australasian Combinatorics Conference

Mjesto i datum
Melbourne, Australija, 13.12.2021. - 17.12.2021

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
pairwise balanced design ; golay pair

Sažetak
In this talk we will focus on a connection between certain pairwise balanced designs with v points and periodic Golay pairs of length v. The talk is based on recent work where we construct pairwise balanced designs with v points having an assumed cyclic automorphism group, and using isomorph rejection which is compatible with the equivalence of corresponding periodic Golay pairs, we complete the classification of periodic Golay pairs of length less than 40, up to equivalence. Further, we will show how we use similar tools to construct new periodic Golay pairs of lengths greater than 40 where classifications remain incomplete, and demonstrate that under some extra conditions on its automorphism group, a periodic Golay pair of length 90 do not exist.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA